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Simplifying -18x + -5(4 + -5x) = 2(x + -2) + -31 -18x + (4 * -5 + -5x * -5) = 2(x + -2) + -31 -18x + (-20 + 25x) = 2(x + -2) + -31 Reorder the terms: -20 + -18x + 25x = 2(x + -2) + -31 Combine like terms: -18x + 25x = 7x -20 + 7x = 2(x + -2) + -31 Reorder the terms: -20 + 7x = 2(-2 + x) + -31 -20 + 7x = (-2 * 2 + x * 2) + -31 -20 + 7x = (-4 + 2x) + -31 Reorder the terms: -20 + 7x = -4 + -31 + 2x Combine like terms: -4 + -31 = -35 -20 + 7x = -35 + 2x Solving -20 + 7x = -35 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + 7x + -2x = -35 + 2x + -2x Combine like terms: 7x + -2x = 5x -20 + 5x = -35 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 5x = -35 + 0 -20 + 5x = -35 Add '20' to each side of the equation. -20 + 20 + 5x = -35 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -35 + 20 5x = -35 + 20 Combine like terms: -35 + 20 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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